4 papers
Limiting conditions of Muckenhoupt and reverse Hölder classes on metric measure spaces
Emma-Karoliina Kurki
The natural maximal and minimal functions commute pointwise with the logarithm on . We use this observation to characterize the spaces and on metric mea…
Characterizations of weak reverse Hölder inequalities on metric measure spaces
Juha Kinnunen, Emma-Karoliina Kurki, Carlos Mudarra
We present ten different characterizations of functions satisfying a weak reverse Hölder inequality on an open subset of a metric measure space with a doubling measure. Among other…
On the extension of Muckenhoupt weights in metric spaces
Emma-Karoliina Kurki, Carlos Mudarra
A theorem by Wolff states that weights defined on a measurable subset of and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenho…
Weighted norm inequalities in a bounded domain by the sparse domination method
Emma-Karoliina Kurki, Antti V. Vähäkangas
We prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version…